57325536 has 96 divisors (see below), whose sum is σ = 171198720. Its totient is φ = 18652032.

The previous prime is 57325531. The next prime is 57325537. The reversal of 57325536 is 63552375.

57325536 is a `hidden beast` number, since 573 + 2 + 55 + 36 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×57325536³ (a number of 24 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 57325536.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57325531) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36381 + ... + 37923.

It is an arithmetic number, because the mean of its divisors is an integer number (1783320).

Almost surely, 2^57325536 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57325536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85599360).

57325536 is an abundant number, since it is smaller than the sum of its proper divisors (113873184).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

57325536 is a wasteful number, since it uses less digits than its factorization.

57325536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1605 (or 1591 counting only the distinct ones).

The product of its digits is 94500, while the sum is 36.

The square root of 57325536 is about 7571.3628892030. The cubic root of 57325536 is about 385.5813693701.

The spelling of 57325536 in words is "fifty-seven million, three hundred twenty-five thousand, five hundred thirty-six".